This handbook provides a complete, but accessible compendium of all the major theorems, applications, and methodologies that are necessary for a clear understanding of probability. Each chapter is self-contained utilizing a common format. Algorithms and formulae are stressed when necessary and in an easy-to-locate fashion. Chapter introductions, summaries, and references are included in order to provide proper transitioning between concepts. Historical notes are strewn throughout the book so as to engage reader curiosity. A sequel volume in stochastic processes is available.